Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800bn |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
444860281250000 = 24 · 59 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6176450,-5908217875] |
[a1,a2,a3,a4,a6] |
Generators |
[-18620033710:-81205137:12977875] |
Generators of the group modulo torsion |
j |
885956203616256/15125 |
j-invariant |
L |
5.4119396010242 |
L(r)(E,1)/r! |
Ω |
0.095766766192223 |
Real period |
R |
14.127916707319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030769 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21560a1 2200f1 |
Quadratic twists by: 5 -7 |